Exam 2 Review                   MTH 120                           Beginning Algebra

Chapters 3 and 4

 

 

1)       Find P when A = 200, r = 0.08, and t = 4.  Round your answer to the nearest hundredth.        Use the formula  A = P + Prt.

 

2)      Dan Sullivan recently purchased a new car.  What was the cost of the car before tax if the total cost including a 7% tax was $19,260? Be sure to write an equation to solve the problem.

 

3)      Kelly Scandalios wishes to place part of $12,000 into a savings account earning 8% simple interest and part into a savings account earning  simple interest.  How much should she invest in each if she wishes to earn $900 in interest for the year? Be sure to write an equation to solve the problem.

 

4)      Bruce Kennan, a chemist, wishes to make 2 liters of an 8% acid solution by mixing a 10% acid solution and a 5% acid solution.  How many liters of each should he use? Be sure to write an equation to solve the problem.

 

5)      Two trains going in opposite directions leave from the same station on parallel tracks.  One train travels at 50 miles per hour, and the other at 60 miles per hour.  How long will it take for the trains to be 440 miles apart? Be sure to write an equation to solve the problem.

 

6)      The sum of the angles in a triangle is 180º.  One angle of a triangle measures 10º more than the smallest angle, and the third angle measures 10º less than twice the smallest angle.  Find the measures of all three angles.  Be sure to write an equation to solve the problem.

 

7)      One number is 8 more than the other.  Find the two numbers if their sum is 74.

          Be sure to write an equation to solve the problem.

 

8)      The sum of two consecutive integers is 237.  Find the two integers.

          Be sure to write an equation to solve the problem.

 

9)      a)       Solve the equation for y. 

          b)      Find  the value of  y  when

10)     Graph the following equation:              

 

 

11)      a)       Write the equation of the line that passes through

the points (1,-7) and (-2,-1).

          b)      Write the equation of the line that has a Slope = 4 and

passes through the point

 

Write the equation of each of the following lines.

 

 


12)    

 

 

 

 

 

 

 

 

 

 

 

 

 

 


13)

 

 

 

 

 

 

 

 

 

 

 

 

14)     Determine if the following relation is also a function.

 

                  

 

 

15)     If , find .

 

 

16)     A real estate agent has a weekly income, , that can be determined by the formula .

 

 

 

 

 
          a)       Draw a graph of her week income for average sales ranging

from $0 to $10,000.

 

b)      Estimate her weekly income if her average sales for the week are $4000.

 

 

17)     Find the slope of the through the given points.            and  

 

18)     Find the slope of the through the given points.            and  

 

 

 

 

 

 

 

 

19)     Given the following equation:     

          a)       Put the equation in slope-intercept form.

          b)      Using part a), find the slope.

          c)       Using part a), find the y-intercept.

 

 

 

20)    Given the following equation:     

          a)       Put the equation in slope-intercept form.

          b)      Using part a), find the slope.

          c)       Using part a), find the y-intercept.

 

 

21)     Determine if the two following lines are parallel.  Explain why they are

(or are not) parallel.

 

                  

 

22)    Given the following relation:      

          a)       Give the domain.

          b)      Give the range.

          c)       Determine if the relation is a function.  Explain why it is

(or is not) a function.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Math 120          Exam #2 Review - Chapters 3 and 4           Answer Key

 


1)      

         

 

2)      c = cost of the car before tax

         

 

3)               x = amount invested at 8%

     =amount invested at

           

          $4000 invested at 8%

          $8000 invested at

 

4)     x = number of liters of 10% acid sol.

   2 – x = number of liters of 5% acid sol.

         

  Liters of 10% solution  

      Liters of 5% solution

 

 

 

 

 

5)      t = time

   Use the formula d=rt.

         

                  

                        hours

 

 

6)      s = measure of the smallest angle

          s + 10 = measure of the 2nd angle

          2s – 10 = measure of the 3rd angle

         

      

 (small)

                                 (2nd)

                                (3rd)

         

7)      x = first number

          x+8 = second number

         

          x + (x+8) = 74

              2x + 8  = 74

                    2x  = 66

                        x = 33

                  x + 8 =  41

The numbers are 33 and 41.

 

8)                x = first integer

               x + 1 = second integer

          x + (x+1) = 237

                 2x + 1 = 237

                   2x = 236

                     x = 118

                 x + 1 = 119      

The consecutive integers are 118 and 119.

 

9)      a)      

          b)     

 

10)    

               

                

  


         

11)      a)      

                  

                        

                               

 

b)     

            

            

            

                 

12)    

         

 

13)    

 

14)     No, fails the Vertical Line Test.

 

15)    

         

 

 

16)     a)      

 

 

 

 

 

 

          b)     

                  

 

17)     Find the slope of the through the given points.    and

 

         

 

18)     Find the slope of the through the given points.    and

         

 

19)     a)      

                

                           

b)      .

c)      

 

 

 

 

20.     a)      

                      

                   

b)     

c)      

 

 

21.    

              

        

       

 

         

              

                  

                 

          Since the slopes are not the same

          the lines are not parallel.

 

 

22)    Given the following relation:

a)      

b)     

c)       Yes, the relation is a function because for each x  value there corresponds one y value.